46631200 has 144 divisors (see below), whose sum is σ = 142115904. Its totient is φ = 14515200.

The previous prime is 46631171. The next prime is 46631201. The reversal of 46631200 is 213664.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (46631201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61222 + ... + 61978.

It is an arithmetic number, because the mean of its divisors is an integer number (986916).

Almost surely, 2^46631200 is an apocalyptic number.

46631200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71057952).

46631200 is an abundant number, since it is smaller than the sum of its proper divisors (95484704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46631200 is a wasteful number, since it uses less digits than its factorization.

46631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 46631200 is about 6828.7041230383. The cubic root of 46631200 is about 359.9362026866.

Adding to 46631200 its reverse (213664), we get a palindrome (46844864).

The spelling of 46631200 in words is "forty-six million, six hundred thirty-one thousand, two hundred".